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13113033301200 = 2435271561075393
BaseRepresentation
bin1011111011010001110110…
…1100010001110011010000
31201102121000211121011122110
42332310131230101303100
53204320443011114300
643520013324305320
72522246121662520
oct276643554216320
951377024534573
1013113033301200
1141a622a4959a8
1215794883a2240
137417277292b1
14334961ddd680
1517b177c00550
hexbed1db11cd0

13113033301200 has 120 divisors (see below), whose sum is σ = 48006190516288. Its totient is φ = 2997264752640.

The previous prime is 13113033301187. The next prime is 13113033301213. The reversal of 13113033301200 is 210333031131.

It is an interprime number because it is at equal distance from previous prime (13113033301187) and next prime (13113033301213).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 780529297 + ... + 780546096.

Almost surely, 213113033301200 is an apocalyptic number.

13113033301200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13113033301200 is an abundant number, since it is smaller than the sum of its proper divisors (34893157215088).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13113033301200 is a wasteful number, since it uses less digits than its factorization.

13113033301200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1561075421 (or 1561075410 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 13113033301200 its reverse (210333031131), we get a palindrome (13323366332331).

The spelling of 13113033301200 in words is "thirteen trillion, one hundred thirteen billion, thirty-three million, three hundred one thousand, two hundred".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 35 40 42 48 50 56 60 70 75 80 84 100 105 112 120 140 150 168 175 200 210 240 280 300 336 350 400 420 525 560 600 700 840 1050 1200 1400 1680 2100 2800 4200 8400 1561075393 3122150786 4683226179 6244301572 7805376965 9366452358 10927527751 12488603144 15610753930 18732904716 21855055502 23416130895 24977206288 31221507860 32782583253 37465809432 39026884825 43710111004 46832261790 54637638755 62443015720 65565166506 74931618864 78053769650 87420222008 93664523580 109275277510 117080654475 124886031440 131130333012 156107539300 163912916265 174840444016 187329047160 218550555020 234161308950 262260666024 273188193775 312215078600 327825832530 374658094320 437101110040 468322617900 524521332048 546376387550 624430157200 655651665060 819564581325 874202220080 936645235800 1092752775100 1311303330120 1639129162650 1873290471600 2185505550200 2622606660240 3278258325300 4371011100400 6556516650600 13113033301200